Torque Calculator
Calculate torque, force, and lever arm for rotational mechanics
Calculate Torque Properties
Magnitude of the applied force
Distance from pivot point to force application
Angle between force vector and lever arm
Quick Angle Presets:
Calculation Results
Formula used: τ = r × F × sin(θ)
• τ = 0.000 × 0.0 × sin(90°) = 0.000 N⋅m
Torque Analysis
Example Calculation
Opening a Door Example
Given: F = 120 N, r = 0.5 m, θ = 90°
Find: Torque required to open the door
Solution
τ = r × F × sin(θ)
τ = 0.5 × 120 × sin(90°)
τ = 0.5 × 120 × 1
τ = 60 N⋅m
Torque Concepts
Common Applications
Wrenches and bolt tightening
Door handles and hinges
Gears and mechanical systems
Engine torque specifications
Torque wrenches and fasteners
Understanding Torque
What is Torque?
Torque is the rotational equivalent of force. It measures the tendency of a force to cause rotation about an axis, pivot point, or fulcrum. The effectiveness of torque depends on both the magnitude of the force and the distance from the axis of rotation.
Key Principles
- •Torque = Force × Distance × sin(angle)
- •Maximum when force is perpendicular
- •Zero when force is parallel to lever arm
- •Direction matters (clockwise vs counterclockwise)
Torque Formula
τ = r × F × sin(θ)
- τ: Torque (N⋅m)
- r: Lever arm distance (m)
- F: Applied force (N)
- θ: Angle between force and lever arm
Practical Tip: Use a longer lever arm or apply force perpendicular to maximize torque efficiency.
Unit Conversion: 1 N⋅m = 0.7376 lbf⋅ft
1 lbf⋅ft = 1.3558 N⋅m